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Phys. Rev. D 26, 352–367 (1982)

First-order tetrad gravity in Dirac's Hamiltonian formalism

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L. Castellani and P. van Nieuwenhuizen
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

M. Pilati
Physics Department, Imperial College, London SW7 2BZ, United Kingdom

Received 21 April 1981; revised 21 August 1981; published in the issue dated 15 July 1982

The Hamiltonian d3x(pq̇-L) is constructed without adding further terms. The velocities ėia and ω̇iab are eliminated while ė0a and ω̇0ab remain arbitrary. The second-class constraints reduce the theory to second-order tetrad gravity. The first-class constraints differ from those in second-order formalism, but satisfy the same gauge algebra provided one uses Dirac brackets.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.26.352
DOI:
10.1103/PhysRevD.26.352
PACS: